Bending of the plate with a crack in presence of plastic zones at its tops
Journal Title: Вісник Тернопільського національного технічного університету - Year 2017, Vol 85, Issue 1
Abstract
A problem of biaxial bending under distributed bending moments at infinity of isotropic plate with the straight crack and the presence at its tops of plastic zones where Trasck’s plasticity conditions are performed as a surface layer or plastic hinge, when the vectors of the external moments are perpendicular and parallel to the banks of the crack has been investigated. Using the methods of complex variable theory and the complex potentials of classic theory of plate bending, the solving of problem is reduced to the problem of linear coupling, their analytical solution has been received in the class of functions limited in the plastic zones tops.The length of plastic zone and divergence of crack banks at its top has been determined analytically and their numerical analysis for various parameters of the problem has been conducted.
Authors and Affiliations
Oksana Bilash
Keywords
Related Articles
- EP ID EP252159
- DOI -
- Views 70
- Downloads 0
Directed loading of the high-speed screw conveyor from the bunker
The results of the investigations of high-speed conveyor loading with bulk cargo are given. It is established that directional compressed flow produces dynamic pressure resisting the centrifugal motion of the load during...
Usage of special finite elements for solution of fracture mechanics problems
The paper suggests the usage of special modified finite elements, which account for the square-root singularity of stress and strain fields at the crack top and allows high-precision evaluation of stress intensity factor...
The effect of initial deformations of the thick plate on its contact interaction with the ring punch
The calculation of the structural elements and mechanisms strength is one of the most important stages while their developing. Initial deformations are almost always available in the structural elements and machine parts...
Method of the quadratic interpolation of the discrete rhythm function of the cyclical signal with a defined segment structure
The article considers the problem of determining the rhythm function of some continuous cyclic function by the means of interpolation of the embedded in it discrete rhythm function, which is defined by the segment struct...
Mathematical model of boundary crack propagation at bending of symmetric thin-walled flanks
There was studied engineering methods for determining stress intensity factors for complex symmetrical cross-sectional flank open at the edge of the crack by the action of stretching and bending effort. Analysis of speci...